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How to find the modulus, conjugate and the derivation of a complex number in an analytic form?

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clc
syms a b c d
z=a*b*exp(i*c)
i would like to find the modulus square of z by writing abs(z).^2 , the conjugate " z.' " and the the derivation of z in function of c " dz/dc" in a analytic way
can u guys help me with this code
thank you in advance

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